Q. 215.0( 3 Votes )

When (x31 + 31) is divided by (x + 1), the remainder is
A. 0

B. 1

C. 30

D. 31

Answer :

Let, p (x) = (x31 + 31)

And, x + 1 = 0


x = - 1


It is given that, (x + 1) is a factor of p (x) so the remainder is equal to p (-1)


p (-1) = (-1)31 + 31


= - 1 + 31


= 30


Hence, option C is correct

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